If you don't have an earth, and if you are getting shocks from your appliances, the landlord is not fulfilling his duty of care towards you as his tenant (and likely his other tenants by the sound of it). I think you would be entitled to go to the Health and Safety Executive for advice and possibly action. The rules for the landlord's duty of care come under the Electricity at Work Regulations, if my memory serves correctly, which makes it HSE territory. One occasions when 'elf and safety really does come into its own.
PJ
PJ